If you want to maintain normal contrast, you need to reduce development times with respect to ISO 400 by 30-40%. This would be the same as pulling the film. If you process at ISO 400 times you would be in effect over-developing, which will increase your contrast by pushing the highest zones by as much as one stop. You needn't worry about loosing highlight detail if you do this, as HP5 has plenty of latitude and no shoulder to speak of.
Let's not mix up ISO with contrast. The OP have (in your mind) overexposed the film by a stop, that's all. That doesn't change the contrast "sensitivity" of the film. It simply moves the different gray zones "up" one step and also produces shadows with more detail. The only risk is that some highlights will get blown out.
Personally I always shoot HP5+ at 200-320, depending on how the light or rather the contrast range of the subject(s) is that I shoot on that film. If the subjects/scenes are very bright lit with high contrast I expose at 200 and develop maybe 25% shorter. If the scenes are quite dull in contrast (so that I want to boost it up a bit), I set the meter at 320 and develop some 30% longer. This have nothing (or very little) to do with e.g. the zone system. It just boils down to "Expose for the shadows and develop for the highlights.".
Now for the original poster, AshenLight. In what kind of scenes did you shoot that roll? Was it (in your taste) high or low contrast? If it was somewhat high contrast, the film is probably perfectly exposed and you can "tame" that contrast by developing a bit shorter than what you normally do. Anyhow, your problem is not really a problem. It may even be a solution for some of the problems you are not yet aware of.
When I first learnt about this some 30 years ago and exposed a roll of TriX at 200 on a bright sunlit day to proceed and develop a bit shorter, my pictures all of a sudden became so much better. There were a lot of tones which I had not previously had in my prints and the printing was easier than ever. That day (and night in the darkroom) I really learnt a lot.
//Björn